NISER

• Doctor of Philosophy : University of Delhi, Delhi, India in 1998.
• Master Degree : University of Delhi, Delhi, India in 1990.

1.   Matrix norms in matrix ordered spaces, Anil K. Karn and R. Vasudevan; Glasnik Mathematici, 32(1)(1997) 87-97.
    
2. Approximate matrix order unit spaces, Anil K. Karn and R. Vasudevan; Yokohama Math. J., 44(1997) 73-91.
3. Matrix duality for matrix ordered spaces, Anil K. Karn and R. Vasudevan; Yokohama Math. J., 45(1998) 1-18.
4. Characterizations of matricially Riesz normed spaces, Anil K. Karnand R. Vasudevan; Yokohama Math. J., 47(2000) 143-153.
5. Compact operators whose adjoints factor through subspaces of lp , D. P. Sinha and Anil K. Karn; Studia Mathematica, 150(1) (2002) 17-33.
6. Order units in a C*-algebra, Anil K. Karn; Pros. Indian Acad. Sci.(Math. Sci.), 113(1)(2003) 65-69.
7. Adjoining an order unit to a matrix ordered space, Anil K. Karn;Positivity, 9(2) (2005) 207-223.
8. Direct limit of matrix ordered spaces, J. V. Ramani, Anil K. Karn and Sunil Yadav; Glasnik Matematicki., 40(2) (2005) 303-312
9. Direct limit of matricially Riesz normed spaces, J. V. Ramani, Anil K. Karn and Sunil Yadav; Commentationes Mathematicae Universitatis Carolinae, 47(1) (2006) 55-67.
10. Corrigendum to “Adjoining an order unit to a matrix ordered space”, Anil K. Karn; Positivity, 11(2) (2007) 369-374.
11. Direct limit of matrix order unit spaces, J. V. Ramani, Anil K.Karn and Sunil Yadav; Colloquium Mathematicum, 113(2) (2008), 175-184.
12. Compact operators which factor through subspaces of $\ell_p$ , D. P. Sinha and Anil K. Karn; Math. Nachr., 281(3) (2008), 412-423.
13. A p- theory of ordered normed spaces, Anil K. karn; Positivity, 14(3), (2010), 441–458.
14. Order embedding of a matrix ordered space, Anil K. Karn; Bulletin Aust. Math. Soc., 84(1) (2011), 10–18.
15. Orthogonality in sequence spaces and its bearing on ordered Banach spaces, Anil K. Karn; Positivity, 18(2) (2014), 223-234.
16. An operator summability in Banach spaces, Anil K. Karn and D. P. Sinha; Glassgow Math. J., 56(2) (2014), 427-437.
17. Orthogonality in a C*-algebra, Anil K. Karn; Positivity, 20(3) (2016), 607- 620. (https://rdcu.be/6pJl)
18. Compact factorization of operators with  λ-compact  adjoints, Antara Bhar and Anil Kumar Karn; Glassgow Math. J., 60(2018), no. 1, 123-134.
19. Algebraic orthogonality and commuting projections in operator algebras, Anil Kumar Karn; Acta Sci. Math. (Szeged), 84(1-2) (2018), 323-353.
20. $M$-ideals and split faces of the quasi state space of a  non-unital ordered Banach space, Anindya Ghatak and Anil Kumar Karn; Positivity, 23(2) (2019), 413-429. (https://rdcu.be/7RZx).
21. Contractive linear preservers of absolutely compatible pairs between C$^*$-algebras, Nabin K. Jana, Anil K. Karn and Antonio M. Peralta; Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RCSM), 113(3) (2019) 2731-2741. (https://rdcu.be/bo9Ln)
22. $CM$-ideals and $L^{1}$-matricial split faces, Anindya Ghatak and Anil K. Karn; Acta Sci. Math. (Szeged), 85(3-4) (2019), 659-679.
23. Absolutely compatible pairs in a von Neumann algebra, N. K. Jana, A. K. Karn and A. M. Peralta, Electronic Journal of Linear Algebra, 35 (2019), 599-618.
24. Quantization of $A_{0}(K)$-Spaces, Anindya Ghatak and Anil Kumar Karn; Operator and Matrices, 14(2) (2020), 381-399.
25. Absolutely compatible pairs in a von Neumann algebra-II, Anil K.umar Karn; Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RCSM), 114(3), July (2020). Article 153, 7pages. (https://rdcu.be/b4Tw6)
26. Isometries of Absolute order unit spaces, Anil Kumar Karn and Amit Kumar; Positivity, 24(5) (2020), 1263-1277.
27. Partial isometries in an absolute order unit space, Anil Kumar Karn and Amit Kumar; Banach Journal of Mathematical Analysis, 15(1) (2021), 1-26. (https://rdcu.be/cbdDL)
28. Orthogonality: an antidote to Kadison's anti-lattice theorem, Anil Kumar Karn; Positivity and its Applications, (Positivity X, 8-12 July 2019), Pretoria, South Africa, (2021), 217-227.
29. $K_0$-group of absolute Matrix order unit spaces, Anil Kumar Karn and Amit Kumar; Karn, Adv. Oper. Theory, 40(2) (2021) 27 pages. (Published online on March 17, 2021), (https://rdcu.be/cgX4P).
30. A generalization of spin factors, Anil Kumar Karn; Acta. Sci. Math. (Szeged)), 87 (2021), 551-569.
31. Absolute compatibility and Poincare sphere, Anil Kumar Karn, Annals of Functional Analysis, Ann. Funct. Anal. 13, 39 (2022), 13 pages. (https://doi.org/10.1007/s43034-022-00186-5)
32. Centre of a compact convex set, Anil Kumar Karn; Banach Journal of Mathematical Analysis, 16(4) (2022), Article 68, 19 pages. (https://doi.org/10.1007/s43037-022-00222-5)
33. On the geometry of order unit spaces, Anil Kumar Karn, Advances in Operator Theory 9, 28 (2024)(March 24, 2024) 18 pages.(https://doi.org/10.1007/s43036-024-00327-8)

Preprints:

1. Order units in a normed linear spaces, Anil Kumar Karn, (priprint). (https://arxiv.org/abs/2306.06549)
2. Order unit property and orthogonality in an order unit space, Anil Kumar Karn (under preparation).
3. Compactness and an approximation property related to an operator ideal, Anil K. Karn and D. P. Sinha; (Preprint). (https://arxiv.org/abs/1207.1947)
4. Dual of a normed F-bimodule, Anil K. Karn; (Preprint).